Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448cv |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-444180672 = -1 · 26 · 35 · 134 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -6 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-563,-5433] |
[a1,a2,a3,a4,a6] |
Generators |
[46:261:1] |
Generators of the group modulo torsion |
j |
-10816000/243 |
j-invariant |
L |
6.795589395841 |
L(r)(E,1)/r! |
Ω |
0.48932895881385 |
Real period |
R |
2.7775136841742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32448bw1 16224m1 97344ej1 32448cw1 |
Quadratic twists by: -4 8 -3 13 |